72573804 has 36 divisors (see below), whose sum is σ = 185519880. Its totient is φ = 23918400.

The previous prime is 72573793. The next prime is 72573811. The reversal of 72573804 is 40837527.

72573804 is a `hidden beast` number, since 7 + 2 + 573 + 80 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8122 + ... + 14529.

It is an arithmetic number, because the mean of its divisors is an integer number (5153330).

Almost surely, 2^72573804 is an apocalyptic number.

It is an amenable number.

72573804 is an abundant number, since it is smaller than the sum of its proper divisors (112946076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72573804 is a wasteful number, since it uses less digits than its factorization.

72573804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22750 (or 22745 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 72573804 is about 8519.0260006646. The cubic root of 72573804 is about 417.1189902482.

It can be divided in two parts, 725 and 73804, that added together give a square (74529 = 273²).

The spelling of 72573804 in words is "seventy-two million, five hundred seventy-three thousand, eight hundred four".